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For every twice differentiable function $$f : R \rightarrow [-2, 2]$$ with $$(f(0))^{2}+(f'(0))^{2}=85$$ which of the following statement(s) is (are) TRUE?
There exist r,s \in R where r<s such that ๐ is one-one on the open interval (r, s)
There exists $$X_{0} \in (-4,0)$$ such that$$\mid (f'(x_{0})) \mid \leq 1$$
$$\lim_{x\rightarrow\infty } f(x) =1$$
There exists $$\alpha$$ $$\in$$ (-4,4) such that $$f(\alpha)+f''(\alpha) = 0$$ and $$f'(\alpha) \neq 0$$
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